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Finding the Fourth Proportional to 1,040.89, 1,436.07 and 667.84

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Solution

The fourth proportional to 1,040.89, 1,436.07 and 667.84 is: 921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.89 : 1,436.07 = 667.84 : x
  2. Step 2: Convert to fraction form
    1,040.89/1,436.07 = 667.84/x
  3. Step 3: Cross multiply
    1,040.89x = 1,436.07 × 667.84
  4. Step 4: Simplify right side
    1,040.89x = 959,064.99
  5. Step 5: Solve for x
    x = 959,064.99/1,040.89
  6. Step 6: Final answer
    x = 921.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.